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2020
This article reviews the principles and applications of the phase field technique for modeling phase transformations and microstructural evolutions, with an emphasis on solid-solid transformations. Conventional phase field models, which rely on phenomenological thermodynamic and kinetic descriptions, are first presented and examples of application are ...
Bellon, Pascal, Thuinet, Ludovic
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This article reviews the principles and applications of the phase field technique for modeling phase transformations and microstructural evolutions, with an emphasis on solid-solid transformations. Conventional phase field models, which rely on phenomenological thermodynamic and kinetic descriptions, are first presented and examples of application are ...
Bellon, Pascal, Thuinet, Ludovic
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Phase field modelling of crack propagation, branching and coalescence in rocks
Theoretical and Applied Fracture Mechanics, 2018 We present a phase field model (PFM) for simulating complex crack patterns including crack propagation, branching and coalescence in rock. The phase field model is implemented in COMSOL and is based on the strain decomposition for the elastic energy ...
Shuwei Zhou +2 more
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A phase field model of capillarity
Physics of Fluids, 1995The phenomenological derivation of a phase field model of capillarity that accounts for the structure of an interfacial layer formed by two immiscible incompressible liquids is addressed. A rheological expression for the reversible component of capillary stresses is obtained in terms of the free energy of a binary fluid, which depends on the absolute ...
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Layered Phase Field Approach to Shells
2020Fracture is one of the most commonly encountered failure modes of engineering materials and structures. Prevention of cracking-induced failure is, therefore, essential to save lives and contain costs and should be considered a social commitment. However, the understanding of nucleation and propagation of complex crack patterns in real structures is ...
Brunetti M., Freddi F., Sacco E.
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2015
The phase-field method to modeling microstructure evolution in materials is introduced in this chapter. It can be employed to model, understand, and predict complex material behaviors at meso-scale (on the order of nano- to micro-meter size), and it covers application-relevant time scales (on the order of seconds to years).
Nan Wang, Long-Qing Chen
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The phase-field method to modeling microstructure evolution in materials is introduced in this chapter. It can be employed to model, understand, and predict complex material behaviors at meso-scale (on the order of nano- to micro-meter size), and it covers application-relevant time scales (on the order of seconds to years).
Nan Wang, Long-Qing Chen
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Physica D: Nonlinear Phenomena, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Penrose, Oliver, Fife, Paul C.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Penrose, Oliver, Fife, Paul C.
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Parallel computing for phase-field models
The International Journal of High Performance Computing Applications, 2013The phase-field method is gradually exploiting new research areas, and the demand for the ability to simulate larger domains is increasing continuously with the move towards massive parallel computation. We emphasize the efficient usage of high-performance computing resources by investigating the scaling behavior of 1D domain decomposition, 3D domain ...
Alexander Vondrous +3 more
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2011
The term phase field has recently become known across many fields of materials science. The meaning of phase field is the spatial and temporal order parameter field defined in a continuum-diffused interface model. By using the phase field order parameters, many types of complex microstructure changes observed in materials science are described ...
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The term phase field has recently become known across many fields of materials science. The meaning of phase field is the spatial and temporal order parameter field defined in a continuum-diffused interface model. By using the phase field order parameters, many types of complex microstructure changes observed in materials science are described ...
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2006
The phase field method (PFM) can be used as an approach to dislocation dynamics simulations alternative to the line DD method discussed in Chapter 10. The degrees of freedom in PFM are continuous smooth fields occupying the entire simulation volume, and dislocations are identified with locations where the field values change rapidly.
Vasily Bulatov, Wei Cai
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The phase field method (PFM) can be used as an approach to dislocation dynamics simulations alternative to the line DD method discussed in Chapter 10. The degrees of freedom in PFM are continuous smooth fields occupying the entire simulation volume, and dislocations are identified with locations where the field values change rapidly.
Vasily Bulatov, Wei Cai
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A Microscopic Model of Phase Field Type
1999We introduce a microscopic and stochastic model of phase field type and discuss its macroscopic limits.
BERTINI MALGARINI, Lorenzo +2 more
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